https: Ilwhatsapp.com/channellioo: 1. nin neço natural qiymatinda \( \frac{a^{3}-9 n+12}{3} \) ifadəsi natural adoddir? \( \begin{array}{lllll}\text { A) } 1 & \text { B) } 2 & \text { C) } 3 & \text { D) } 4 & \text { E) } 5\end{array} \)

If the two middle terms in the expansion of \( (a x+b)^{2 n+1} \) are equal, then find \( x \) \( a=2 b \)

Rationalize the denominator of \( \frac{7}{2 + \sqrt{3}} \).

If the two middle terms in the expansion of \( (a x+b)^{2 n+1} \) are equal, then find \( x \) \( a=2 b \)

Soient xety deux nombres reels tels que \( : x \leq \frac{1}{2}, y \geq \frac{3}{2} \) et \( x-2 y=5 \) On pose \( A=\sqrt{x^{2}+(x-1)^{2}+2 x(x-1)} \) et \( B=\sqrt{4 y^{2}+(2 y-3)^{2}+4 y(2 y-3)} \) 1) Montrer que : \( A=\sqrt{(2 x-1)^{2}} \) et \( B=\sqrt{\left(4 y-3 t^{2}\right.} \) 4) Simplifier Ies nombres \( A \) et \( B \) 8) Determiner la valeur numérique du nombre \( A+3 \) X

\( \left(I^{\text {st }}\right. \) Session 2022) If the ratio between the fourth term from the beginning to the fourth term from the end in the expansion of \( \left(\frac{a}{x}+\frac{x}{a}\right)^{2 n} \) equals \( a^{4}: x^{4} \) , then \( n=\cdots \cdots \) \( \begin{array}{llll}\text { (a) } 2 & \text { (b) } 4 & \left.\text { (where } x \in \mathbb{R}^{*}, a \in \mathbb{R}^{*}\right)\end{array} \)